FindRoot termination criteria

*To*: mathgroup at smc.vnet.net*Subject*: [mg5510] FindRoot termination criteria*From*: "Sysabel" <Sysabel at skynet.be>*Date*: Sat, 14 Dec 1996 19:26:08 -0500*Sender*: owner-wri-mathgroup at wolfram.com

Could someone tell me what criteria is used in FindRoot to terminate the search? I'm running FindMinimum on a function that does not have local minima yet it terminates. I've tried upping the MaxIterations and the AccuracyGoal but the results don't seem to improve. For example : numerical_solution = FindRoot[f[x]==0, {x, {0,1}}, AccuracyGoal->0.001]; If exact solution is name exact_solution, is Findroot exit the search when : abs(numerical_solution - exact_solution) < 0.001 ??? or when : abs[f[numerical_solution ] - f[exact_solution]] < 0.001 ??? or others ? Thanks in advance, Eric